## Contents of Volume 42, Number 165

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- On the sharpness of certain local estimates for $\text {\textit {\r {H}}}^1$ projections into finite element spaces: influence of a re-entrant corner
- Lars B. Wahlbin PDF
- Math. Comp.
**42**(1984), 1-8

- Analysis of mixed finite elements methods for the Stokes problem: a unified approach
- Rolf Stenberg PDF
- Math. Comp.
**42**(1984), 9-23

- On optimal shooting intervals
- R. M. M. Mattheij and G. W. M. Staarink PDF
- Math. Comp.
**42**(1984), 25-40

- An analysis of the box and trapezoidal schemes for linear singularly perturbed boundary value problems
- Richard Weiss PDF
- Math. Comp.
**42**(1984), 41-67

- Does increased regularity lower complexity?
- Arthur G. Werschulz PDF
- Math. Comp.
**42**(1984), 69-93

- Implicit Runge-Kutta methods of optimal order for Volterra integro-differential equations
- Hermann Brunner PDF
- Math. Comp.
**42**(1984), 95-109

- A note on an algorithm for interpolating rationals
- You Gun Huang and Jack Williams PDF
- Math. Comp.
**42**(1984), 111-113

- The Lanczos algorithm with partial reorthogonalization
- Horst D. Simon PDF
- Math. Comp.
**42**(1984), 115-142

- A modified method for reconstructing periodic Jacobi matrices
- Daniel Boley and Gene H. Golub PDF
- Math. Comp.
**42**(1984), 143-150

- Approximation of complex harmonic functions by complex harmonic splines
- Han Lin Chen and Tron Hvaring PDF
- Math. Comp.
**42**(1984), 151-164

- A termination criterion for iterative methods used to find the zeros of polynomials
- Masao Igarashi PDF
- Math. Comp.
**42**(1984), 165-171

- Chebyshev quadrature rules for a new class of weight functions
- Paul F. Byrd and Lawrence Stalla PDF
- Math. Comp.
**42**(1984), 173-181

- The arithmetic-harmonic mean
- D. M. E. Foster and G. M. Phillips PDF
- Math. Comp.
**42**(1984), 183-191

- Some inequalities for elementary mean values
- Burnett Meyer PDF
- Math. Comp.
**42**(1984), 193-194

- A series expansion for the first positive zero of the Bessel functions
- R. Piessens PDF
- Math. Comp.
**42**(1984), 195-197

- On a sequence arising in series for $\pi$
- Morris Newman and Daniel Shanks PDF
- Math. Comp.
**42**(1984), 199-217

- On generating new amicable pairs from given amicable pairs
- Herman J. J. te Riele PDF
- Math. Comp.
**42**(1984), 219-223

- Diophantine equations in partitions
- Hansraj Gupta PDF
- Math. Comp.
**42**(1984), 225-229

- Odd triperfect numbers
- Masao Kishore PDF
- Math. Comp.
**42**(1984), 231-233

- A note on the Diophantine equation $x^{n}+y^{n}+z^{n}=3$
- Manny Scarowsky and Abraham Boyarsky PDF
- Math. Comp.
**42**(1984), 235-237

- On the Diophantine equation $\sum X_{i}=\prod X_{i}$
- M. L. Brown PDF
- Math. Comp.
**42**(1984), 239-240

- On zeros of Mellin transforms of $\textrm {SL}_{2}(\textbf {Z})$ cusp forms
- H. R. P. Ferguson, R. D. Major, K. E. Powell and H. G. Throolin PDF
- Math. Comp.
**42**(1984), 241-255

- On the equation $Y^{2}=X(X^{2}+p)$
- A. Bremner and J. W. S. Cassels PDF
- Math. Comp.
**42**(1984), 257-264

- Explicit estimates for the error term in the prime number theorem for arithmetic progressions
- Kevin S. McCurley PDF
- Math. Comp.
**42**(1984), 265-285

- Explicit estimates for $\theta (x;3,l)$ and $\psi (x;3,l)$
- Kevin S. McCurley PDF
- Math. Comp.
**42**(1984), 287-296

- Primality testing and Jacobi sums
- H. Cohen and H. W. Lenstra PDF
- Math. Comp.
**42**(1984), 297-330

- Divisors in residue classes
- H. W. Lenstra PDF
- Math. Comp.
**42**(1984), 331-340

- Reviews and Descriptions of Tables and Books
- Math. Comp.
**42**(1984), 341-344